Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials. Founded at 2009

MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM

V.S. Myasnichenko, N.Yu.. Sdobnyakov

DOI: 10.26456/pcascnn/2014.6.267

Original article

Abstract: In this paper clusters of the FCC structure with short-range interaction forces between atoms have been considered. The interaction only between nearest neighbors has been taken into account. Algebraic relations for the number of atoms and the number of bonds between neighbors in the cluster have been obtained, it has been allowed to evaluate the surface energy of the cluster in an analytical form.

Keywords: FCC lattice, cluster, coordination number, surface

  • V.S. Myasnichenko
  • N.Yu.. Sdobnyakov

Reference:

Myasnichenko V.S., Sdobnyakov N.Yu.. Matematicheskaya model napravlennogo rosta regulyarnogo GTsK klastera s tsentralnym atomom [MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM], Fiziko-khimicheskie aspekty izucheniya klasterov, nanostruktur i nanomaterialov [Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials], 2014, issue 6, pp. 267-272. DOI: 10.26456/pcascnn/2014.6.267. ⎘

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